234304012342400 has 768 divisors, whose sum is σ = 792996057504000. Its totient is φ = 67412098252800.

The previous prime is 234304012342381. The next prime is 234304012342409. The reversal of 234304012342400 is 4243210403432.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (234304012342409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156210404 + ... + 157703196.

It is an arithmetic number, because the mean of its divisors is an integer number (1032546949875).

Almost surely, 2^{234304012342400} is an apocalyptic number.

234304012342400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234304012342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396498028752000).

234304012342400 is an abundant number, since it is smaller than the sum of its proper divisors (558692045161600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234304012342400 is a wasteful number, since it uses less digits than its factorization.

234304012342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492862 (or 1492831 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 234304012342400 its reverse (4243210403432), we get a palindrome (238547222745832).

The spelling of 234304012342400 in words is "two hundred thirty-four trillion, three hundred four billion, twelve million, three hundred forty-two thousand, four hundred".